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Finding the Fourth Proportional to 382,229.40, 573,198.30 and 115,901.40

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Solution

The fourth proportional to 382,229.40, 573,198.30 and 115,901.40 is: 173,807.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,229.40 : 573,198.30 = 115,901.40 : x
  2. Step 2: Convert to fraction form
    382,229.40/573,198.30 = 115,901.40/x
  3. Step 3: Cross multiply
    382,229.40x = 573,198.30 × 115,901.40
  4. Step 4: Simplify right side
    382,229.40x = 66,434,485,447.62
  5. Step 5: Solve for x
    x = 66,434,485,447.62/382,229.40
  6. Step 6: Final answer
    x = 173,807.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.